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Finding the Fourth Proportional to 746,361, 1,029,978.42 and 424,071.54

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Solution

The fourth proportional to 746,361, 1,029,978.42 and 424,071.54 is: 585,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,361 : 1,029,978.42 = 424,071.54 : x
  2. Step 2: Convert to fraction form
    746,361/1,029,978.42 = 424,071.54/x
  3. Step 3: Cross multiply
    746,361x = 1,029,978.42 × 424,071.54
  4. Step 4: Simplify right side
    746,361x = 436,784,534,736.17
  5. Step 5: Solve for x
    x = 436,784,534,736.17/746,361
  6. Step 6: Final answer
    x = 585,218.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.